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Finding the Third Proportional to 33,649,110 and 73,203,120

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Solution

The third proportional to 33,649,110 and 73,203,120 is: 159,252,258.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,649,110 : 73,203,120 = 73,203,120 : x
  2. Step 2: Convert to fraction form
    33,649,110/73,203,120 = 73,203,120/x
  3. Step 3: Cross multiply
    33,649,110x = 73,203,120 × 73,203,120
  4. Step 4: Simplify right side
    33,649,110x = 5,358,696,777,734,400
  5. Step 5: Solve for x
    x = 5,358,696,777,734,400/33,649,110
  6. Step 6: Final answer
    x = 159,252,258.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.